Directions: You may work with others if you choose. However, you must submit your own solutions. Be
mure to carefully read the Layout document prior to submitting your work.
1. The population of Saint Cloud, Minnesota (where SCSU is located) in various years is given in the
following table.
2010 2014 2019
65,842 66,297 67,924
Let S(Y) represent the population of Saint Cloud in year Y.
(a) Compute $AV_{2010,2019}$ for S. Be sure to include units in your response.
(b) Write a careful sentence that explains the meaning of the average rate of change of the function
S(Y) on the interval [2010, 2019].
(c) Using the given data, what do you predict will be the population of Saint Cloud in 2025? Why?
(d) If we assume the population of Saint Cloud is growing at a rate of approximately 3.2% per year,
we can model the population with the formula
$P(t) = 65,842(1.0035)^t$
where $P(t)$ represents the population $t$ years after January 1, 2010. Compute the average rate
of change of the population on the interval [9, 15]. Be sure to include units.